CN112232647A - Method for evaluating island-reef collaborative anti-aircraft damage target of naval-aircraft missile and ground-aircraft missile weapons - Google Patents

Method for evaluating island-reef collaborative anti-aircraft damage target of naval-aircraft missile and ground-aircraft missile weapons Download PDF

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CN112232647A
CN112232647A CN202011050341.1A CN202011050341A CN112232647A CN 112232647 A CN112232647 A CN 112232647A CN 202011050341 A CN202011050341 A CN 202011050341A CN 112232647 A CN112232647 A CN 112232647A
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刘方
斗计华
黄隽
肖玉杰
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Naval University of Engineering PLA
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Abstract

The invention relates to a method for evaluating a naval aircraft guided missile and ground-to-air guided missile weapon island-reef collaborative air defense damage target, which is used for evaluating the naval aircraft guided missile and ground-to-air guided missile weapon island-reef collaborative air defense damage target based on a queuing theory according to the method that the naval aircraft guided missile and the ground-to-air guided missile weapon island-reef collaborative air defense damage target evaluate flow information based on the queuing theory intercepts an incoming air target from far to near in distance. The method optimizes the evaluation of the island-reef collaborative air-defense damage target of the ship-air missile and the ground-air missile weapon, meets the requirement of obtaining the evaluation index result of the island-reef collaborative air-defense damage target of the ship-air missile and the ground-air missile weapon, and provides a method basis for the evaluation of the island-reef collaborative air-defense damage target of the ship-air missile and the ground-air missile weapon based on the platoon theory.

Description

Method for evaluating island-reef collaborative anti-aircraft damage target of naval-aircraft missile and ground-aircraft missile weapons
Technical Field
The invention relates to the technical field of missile weapon system application, in particular to an island-reef collaborative air-borne missile and ground-to-air missile weapon anti-aircraft damage target evaluation method.
Technical Field
The evaluation of the island-reef cooperative air defense damage target of the ship-air missile and the ground-air missile weapon is one of island-reef cooperative air defense hot spot problems. When the ship-based air-borne missiles and the island reefs of the ground-based missile weapons are cooperatively air-defense, the ship-based air-borne missiles and the island reefs of the ground-based missile weapons can intercept an approaching air target from far to near in distance, and the ship-based air-borne missiles and the island reefs of the ground-based missile weapons can be cooperatively air-defense in four layers of long range (more than 100 kilometers), medium range (20-100 kilometers), short range (5-20 kilometers) and short range (within 5 kilometers.
In order to effectively evaluate the degree of the air-borne missile and the ground-to-air missile weapon island reef collaborative air defense damage attack target, a method for evaluating the air-borne missile and the ground-to-air missile weapon island reef collaborative air defense damage target needs to be provided, and the method is very important for measuring the capability of the air-borne missile and the ground-to-air missile weapon island reef collaborative air defense damage target.
Because the evaluation of the island-reef collaborative air-borne missiles and the island-reef ground-borne missile weapons to prevent the aerial damage target generally belongs to the application problem of the random service system theory, a method for evaluating the island-reef collaborative air-borne missiles and the island-reef ground-borne missile weapons to prevent the aerial damage target can be constructed based on the queuing theory.
At present, scholars at home and abroad mainly focus on researching the damage target evaluation problem of the ship-air missile based on the queuing theory, such as a paper ' combat efficiency research of a ship-air missile system group based on the queuing theory ', a ship-air missile weapon system shooting efficiency research based on the queuing theory ' and the like; and mainly focuses on researching the damage target evaluation problem of the ground-air missile based on the queuing theory, such as a paper ' evaluation of combat effectiveness of ground-air missile army based on the queuing theory ', an application research of the queuing theory in combat evaluation of a ground-air missile system ', and the like. The research results do not study the target evaluation problem of the aircraft-ship missile and the island reef collaborative air defense damage of the ground-to-air missile weapon based on the queuing theory from the perspective of the aircraft-ship missile and the island reef collaborative air defense of the ground-to-air missile weapon.
Disclosure of Invention
The invention aims to provide a method for evaluating a naval-aircraft missile and ground-aircraft missile weapon island-reef collaborative anti-air-borne damage target, which is used for intercepting an incoming air target from far to near in distance according to the naval-aircraft missile and ground-aircraft missile weapon island-reef collaborative anti-air-borne damage, and provides a method for evaluating the naval-aircraft missile and ground-aircraft missile weapon island-reef collaborative anti-air-borne damage target based on a queuing theory. The method optimizes the evaluation of the island-reef collaborative air-defense damage target of the ship-air missile and the ground-air missile weapon, meets the requirement of obtaining the evaluation index result of the island-reef collaborative air-defense damage target of the ship-air missile and the ground-air missile weapon, and provides a method basis for the evaluation of the island-reef collaborative air-defense damage target of the ship-air missile and the ground-air missile weapon based on the platoon theory.
In order to achieve the purpose, the invention designs an island and reef collaborative air-borne missile and ground-borne missile weapon anti-aircraft damage target evaluation method, which is characterized by comprising the following steps:
step 1: deploying x in remote defense line formed by remote ship-borne missile and remote ground-to-air missile weapon1Remote guided missile weapons, x1The remote guided missile weapon comprises x11Remote-set aircraft missile weapons and x12The remote ground-air missile weapon has x1＝x11+x12；
x11Remote-set aircraft missile weapon and x12When the remote ground-to-air missile weapon is cooperated to prevent space, the average strength of the remote defense line for intercepting the target in the air is lambda1Per s;
at the same time, x11Remote-set aircraft missile weapon and x12Mean service rate mu of remote ground-to-air missile weapon collaborative air defense1，μ1＝1/T1，T1Is x11Remote-set aircraft missile weapon and x12The average interception target time when remote ground-to-air missile weapons are coordinated to prevent space;
step 2: according to the average number lambda of the incoming air targets needing to be intercepted per second by the remote defense line1、x11Remote-set aircraft missile weapon and x12When target is averagely intercepted during cooperative defense and emptying of remote ground-to-air missile weaponsInter T1Remote missile weapon set number x1Calculating the probability p that the incoming air target breaks through a remote defense line formed by a remote naval-vessel missile and a remote ground-to-air missile weapon1；
And step 3: probability p of breaking through remote defense line formed by remote naval-vessel missile and remote ground-to-air missile weapon according to attacking air target1Calculating the probability u of cooperative air defense interception of remote naval-aircraft missile and remote ground-aircraft missile weapon to attack air target1；
And 4, step 4: according to the damage target probability p under the condition that the remote ship-air missile and the remote ground-air missile weapon cooperate to prevent the air and intercept the targetd1And the probability u of the remote ship-air missile and the remote ground-air missile weapon cooperating to prevent the air from intercepting the incoming air target1Calculating the probability q of the cooperative air defense damage of the remote naval-aircraft missile and the remote ground-air missile weapon to attack the air target1；
And 5: calculating expected M of number of targets of incoming air to be intercepted for cooperative air defense of remote ship-borne missile and remote ground-to-air missile weapon1；
Step 6: according to the probability q of the cooperative aerial damage prevention of the remote naval-aircraft missile and the remote ground-aircraft missile weapon1And the number of the targets M of the incoming air which need to be intercepted for cooperative air defense of the remote ship-borne missile and the remote ground-to-air missile weapon1Calculating the expected number h of air targets attacked by remote naval-aircraft missile and remote ground-aircraft missile weapon in cooperation with air defense damage1。
The invention has the beneficial effects that: the method is based on the queuing theory, analyzes the theoretical application problem of the random service system for evaluating the cooperative aerial defense damage target of the ship-air missile and the island reef of the ground-air missile weapon, sequentially evaluates the evaluation indexes of the cooperative aerial defense damage target of the ship-air missile and the island reef of the ground-air missile weapon at four levels of long distance, medium distance, short distance and short distance, and counts the evaluation index results of the cooperative aerial defense damage target of the ship-air missile and the island reef of the ground-air missile weapon. Therefore, the cooperative aerial missile and ground-to-air missile weapon island reef anti-aircraft damage target assessment is optimized, meanwhile, the requirement for obtaining the cooperative aerial missile and ground-to-air missile weapon island reef anti-aircraft damage target assessment index result is met, and a method basis is provided for the cooperative aerial missile and ground-to-air missile weapon island reef anti-aircraft damage target assessment based on the platoon theory.
Drawings
FIG. 1 is a flow chart of a method for evaluating a flying object damage prevention by cooperation of an aircraft-based ship missile and an island reef of an air-based missile weapon based on a queuing theory.
Detailed Description
The invention is described in further detail below with reference to the following figures and specific examples:
the invention designs a method for evaluating a naval-aircraft missile and ground-to-air missile weapon island-reef collaborative air defense damage target, which intercepts an incoming air target from far to near in distance according to naval-aircraft missile and ground-to-air missile weapon island-reef collaborative air defense, and evaluates the naval-aircraft missile and ground-to-air missile weapon island-reef collaborative air defense damage target based on a queuing theory according to the information of the process for evaluating the naval-aircraft missile and ground-to-air missile weapon island-reef collaborative air defense damage target based on the queuing theory.
The team-theory-based aircraft-ship missile and ground-to-air missile weapon island-reef collaborative air defense damage target assessment process information comprises the following steps: the method comprises the following steps of remote aircraft-based missile and ground-to-air missile weapon island-reef collaborative air defense damage target assessment based on a platoon theory, medium-range aircraft-based missile and ground-to-air missile weapon island-reef collaborative air defense damage target assessment based on the platoon theory, short-range aircraft-based missile and ground-to-air missile weapon island-reef collaborative air defense damage target assessment based on the platoon theory, and ground-to-air missile island-reef collaborative air defense damage target assessment index statistical results.
Specifically, the present invention comprises the following steps, as shown in fig. 1:
step 1: the incoming flow of the incoming aerial targets is Poisson flow, the average strength of the incoming aerial targets is lambda/s, the cooperative air defense time of the ship-borne missile and the island reef of the ground-borne missile weapon obeys negative exponential distribution, and the distribution function is q (t) 1-e-μtWherein mu represents the average service rate (unit is one/s) of the aircraft-ship missile and the island-reef collaborative air-ground missile weapon, mu is 1/T, and T is the aircraft-ship missile and the island-reef earth-ground missile weapon collaborative air-ground missile weaponAverage intercept target time (in s) required for null;
deploying x in remote defense line formed by remote ship-borne missile and remote ground-to-air missile weapon1Remote guided missile weapon (remote over 100 kilometers) and x1The remote guided missile weapon comprises x11Remote-set aircraft missile weapons and x12The remote ground-air missile weapon has x1＝x11+x12；
x11Remote-set aircraft missile weapon and x12When the remote ground-to-air missile weapon is cooperated to prevent space, the average strength of the remote defense line for intercepting the target in the air is lambda1Number/s, then has1＝λ；
At the same time, x11Remote-set aircraft missile weapon and x12Mean service rate mu of remote ground-to-air missile weapon collaborative air defense1In units of units/s,. mu.1＝1/T1，T1Is x11Remote-set aircraft missile weapon and x12Average interception target time (unit is s) when remote ground-to-air missile weapons are cooperated to prevent space;
step 2: according to the average number lambda of the incoming air targets needing to be intercepted per second by the remote defense line1、x11Remote-set aircraft missile weapon and x12Average interception target time T for cooperative defense and emptying of remote ground-to-air missile weapons1Remote missile weapon set number x1Calculating the probability p that the incoming air target breaks through a remote defense line formed by a remote naval-vessel missile and a remote ground-to-air missile weapon1；
And step 3: probability p of breaking through remote defense line formed by remote naval-vessel missile and remote ground-to-air missile weapon according to attacking air target1Calculating the probability u of cooperative air defense interception of remote naval-aircraft missile and remote ground-aircraft missile weapon to attack air target1；
And 4, step 4: according to the damage target probability p under the condition that the remote ship-air missile and the remote ground-air missile weapon cooperate to prevent the air and intercept the targetd1And the probability u of the remote ship-air missile and the remote ground-air missile weapon cooperating to prevent the air from intercepting the incoming air target1Remote calculation of ship and airProbability q of air target attacked by missile and remote ground-to-air missile weapon in cooperation with air destruction prevention1；
And 5: calculating expected M of number of targets of incoming air to be intercepted for cooperative air defense of remote ship-borne missile and remote ground-to-air missile weapon1；
Step 6: according to the probability q of the cooperative aerial damage prevention of the remote naval-aircraft missile and the remote ground-aircraft missile weapon1And the number of the targets M of the incoming air which need to be intercepted for cooperative air defense of the remote ship-borne missile and the remote ground-to-air missile weapon1Calculating the expected number h of air targets attacked by remote naval-aircraft missile and remote ground-aircraft missile weapon in cooperation with air defense damage1。
And 7: a middle-range defense line formed by a middle-range naval missile and a middle-range ground-to-air missile weapon is deployed by x2Guided missile weapons of medium range, x2The guided missile weapon comprises x21In-range aircraft missile weapons and x22In the case of mid-range ground-to-air missile weapons, then x2＝x21+x22(the middle range is 20-100 kilometers);
x21in-range aircraft missile weapons and x22When the sleeve intermediate range ground-air missile weapon collaboratively prevents the space, the average strength of the intermediate range defense line for intercepting the target attacking the air is lambda2Is/s, lambda2＝λ1(1-q1)；
At the same time, x21In-range aircraft missile weapons and x22Mean service rate mu of cooperative air defense of in-sleeve range ground-to-air missile weapons2In units of units/s,. mu.2＝1/T2，T2Is x21In-range aircraft missile weapons and x22Average interception target time of cooperative air defense of the in-set range ground-air missile weapons;
and 8: according to the average number lambda of the incoming air targets needing to be intercepted per second of medium-range defense lines2、x21In-range aircraft missile weapons and x22Mean interception target time T of cooperative air-ground missile weapon in sleeve2Number of sets x for medium-range missile weapons2Computing mechanism for breaking through of medium-range ship-borne missile and medium-range ground-borne missile in attacking air targetIntermediate defense probability p2；
And step 9: breaking through the mid-range defense line probability p consisting of mid-range naval-vessel missile and mid-range ground-to-air missile weapons according to the air-attacking target2Calculating the probability u of cooperative air defense interception of medium range naval-aircraft missile and medium range ground-aircraft missile weapon to attack air target2；
Step 10: according to the damage target probability p under the condition that the medium range ship-air missile and the medium range ground-air missile weapon cooperate to prevent the air and intercept the targetd2Probability u of cooperative air-defense interception of medium-range ship-borne missile and medium-range ground-to-air missile weapon to attack air target2Calculating the probability q of the cooperative air defense damage of the medium range ship-air missile and the medium range ground-air missile weapon to attack the air target2；
Step 11: expecting M according to the number of the targets which attack the air and need to be intercepted in cooperation with remote naval missiles and remote ground-to-air missile weapons1Probability p of attacking air target to break through remote defense line formed by remote naval-vessel missile and remote ground-to-air missile weapon1Target damage probability p under the condition of cooperative air defense interception of medium range ship-borne missile and medium range ground-borne missile weapond2Calculating the expected number M of the targets in the air which are attacked and need to be intercepted by the cooperation of the medium range ship-borne missile and the medium range ground-to-air missile weapon2；
Step 12: expecting M according to the number of the targets in the air which are attacked by the medium range naval missile and the medium range ground-to-air missile weapon and need to be intercepted in cooperation with air defense2Probability q of air target attack by medium-range ship-air missile and medium-range ground-air missile weapon in cooperation with air defense damage2Calculating the expected number h of targets in the air which are attacked by the medium range ship-air missile and the medium range ground-air missile weapon in cooperation with the air defense damage2；
Step 13: deploying x in a short-range defense line consisting of a short-range naval-vessel missile and a short-range ground-to-air missile weapon3Nested short-range missile weapons in which x3The sleeve short-range missile weapon comprises x31Sleeve short-range aircraft missile weapon, x32The sleeve short-range ground-air missile weapon has x3＝x31+x32(short range means 5 to 20 km);
short-range ship-borne missile and short-range ground-to-air missile weapon cooperative defenseWhen the space is empty, the average strength of the targets which need to intercept the incoming air is lambda3Is/s, lambda3＝λ2(1-q2)；
Meanwhile, the average service rate mu of cooperative air defense of short-range ship-borne missile and short-range ground-to-air missile weapons3，μ3＝1/T3，T3Is x31Sleeve short-range aircraft guided missile and x32Average interception target time of cooperative air defense of the short-range ground-to-air missile weapons;
step 14: according to the average number lambda of the incoming air targets needing to be intercepted per second by the short-range defense line3、x31Sleeve short-range aircraft guided missile and x32Average interception target time T of cooperative air defense of sleeve short-range ground-to-air missile weapon3Short-range missile weapon set number x3Calculating the short-range defense probability p that the incoming air target breaks through the short-range missile defense formed by the short-range ship-borne missile and the short-range ground-borne missile weapon3；
Step 15: breaking through short-range defense probability p formed by short-range naval-vessel missile and short-range ground-to-air missile weapon according to attacking air target3Calculating the probability u of cooperative air defense interception of short-range ship-borne missile and short-range ground-to-air missile weapons to attack air target3；
Step 16: according to the damage target probability p under the condition that the short-range ship-borne missile and the short-range ground-to-air missile weapon cooperate to prevent air interception of the targetd3Probability u of cooperative air defense and air defense interception of short-range ship-borne missile and short-range ground-to-air missile weapons to attack air target3Calculating the probability q of the cooperative air defense damage of the short-range ship-borne missile and the short-range ground-to-air missile weapon3；
And step 17: expecting M according to the number of the targets in the air which are attacked by the medium range naval missile and the medium range ground-to-air missile weapon and need to be intercepted in cooperation with air defense2The mid-range defense line probability p of the air-borne missile and the air-borne missile weapon breaks through2And the damage target probability p under the condition of cooperative air defense interception of short-range ship-borne missile and short-range ground-to-air missile weapond3Calculating the expected number M of the targets in the air which need to be intercepted for cooperative air defense of short-range ship-borne missiles and short-range ground-to-air missile weapons3；
Step 18: expecting M according to the number of the targets in the air which are attacked by short-range naval-vessel missile and short-range ground-to-air missile weapons and need to be intercepted in cooperation with air defense3And the probability q of the air target attacked by the short-range ship-borne missile and the short-range ground-borne missile weapon in cooperation with the air damage prevention3Calculating the expected number h of flying targets attacking the air by the island and reef cooperation of short-range ship-borne missile and ground-borne missile weapons and preventing air damage3；
Step 19: deploying x in a short-range defense line consisting of a short-range naval-aircraft missile and a short-range ground-to-air missile weapon4Over short-range missile weapons, where x4The short-range missile weapon comprises x41Sleeved short range aircraft missile weapons and x42Over short distance ground-air missile weapon, then x4＝x41+x42(short range means within 5 km);
when the short-range naval-aircraft missile and the short-range ground-to-air missile weapon cooperate to prevent space, the average strength for intercepting the target in the air is lambda4Is/s, lambda4＝λ3(1-q3)；
Meanwhile, the average service rate mu of island-reef cooperative air defense of the short-range naval-vessel missile and the short-range ground-to-air missile weapon4，μ4＝1/T4，T4The target time is the average interception target time of cooperative air defense of the short-range ship-borne missile and the short-range ground-to-air missile weapon;
step 20: according to the average service rate mu of the island-reef cooperative air defense of the short-range naval-vessel missile and the short-range ground-to-air missile weapon4、x41Sleeved short-range aircraft missile and x42Average interception target time T for cooperative air defense of sleeve short-range ground-to-air missile weapon4Short-range missile weapon set number x4Calculating the probability p of the attack of the air target to break through the short-range defense line formed by the short-range ship-air missile and the ground-air missile weapon4；
Step 21: breaking through the short-range defense line probability p consisting of short-range naval-aircraft missile and ground-to-air missile weapon according to the target attacking the air4Calculating the probability u of cooperative air defense interception of short-range naval-aircraft missile and short-range air-ground missile weapon to attack air target4；
Step 22: cooperative air defense barrier based on short-range ship-to-air missile and short-range ground-to-air missile weaponsProbability p of damaging target under target interception conditiond4And the probability u of cooperative air defense interception of short-range naval-aircraft missile and short-range air-ground missile weapon to attack air target4Calculating the probability q of the short-range aircraft-warship missile and the island-reef collaborative anti-aircraft-missile weapon attacking air target4；
Step 23: expecting M according to the number of the targets in the air which are attacked by short-range naval-vessel missile and short-range ground-to-air missile weapons and need to be intercepted in cooperation with air defense3The short-range defense probability p formed by short-range ship-borne missile and short-range ground-to-air missile weapons is broken through by the target attacking the air3And the damage target probability p under the condition of cooperative air defense interception of the short-range ship-borne missile and the short-range ground-to-air missile weapond4Calculating expected number M of incoming air targets needing to be intercepted for island collaboration air-to-sea missile and ground-to-air missile weapon4；
Step 24: expecting M according to the number of the short-range air-borne missiles and the island reef of the ground-to-air missile weapon, which cooperate with air defense and need to intercept the incoming air target4And the probability q of the short-range ship-air missile and the island reef of the ground-air missile weapon cooperating to prevent the air destruction from attacking the air target4Calculating the expectation h of the number of targets in the air which are attacked by the short-range naval-aircraft missile and the short-range ground-aircraft missile weapon in cooperation with the air defense damage4；
Step 25: the method is characterized in that the result of evaluation indexes of the cooperative air-borne missile and ground-to-air missile weapon anti-aircraft damage target is counted, and the evaluation indexes mainly comprise the following indexes:
1. warship-air missile and ground-air missile weapon island reef collaborative air destruction prevention air target number expectation h, h is h1+h2+h3+h4；
2. The ship-air missile and the island reef of the ground-air missile weapon cooperate to prevent the probability q that the airborne target is attacked by the airborne damage, wherein q is h/M, and M is the total number of the airborne target;
3. the probability p that the incoming air target breaks through the long-range defense line, the medium-range defense line, the short-range defense line and the short-range defense line of the cooperative defense of the ship-based air missile and the ground-to-air missile weapon is p, wherein p is (M-h)/M;
4. the aircraft missile warrior and the ground-to-air missile weapon island reef with four ranges is cooperated to prevent the target from being damaged by the air.
(1) Remote aircraft-warship missiles and ground-to-air missile weapon island reefs cooperate to prevent the target evaluation index of air destruction;
the method specifically comprises the following steps: the remote line-of-defense probability formed by the remote ship-air missile and the ground-air missile weapon is broken through by the air-borne missile and the ground-air missile weapon, the probability of the remote ship-air missile and the ground-air missile weapon island reef cooperative air defense interception of the air-borne missile, the probability of the remote ship-air missile and the ground-air missile island reef cooperative air defense damage of the air-borne target, the expectation of the number of the air-borne targets to be intercepted by the remote ship-air missile and the ground-air missile weapon island reef cooperative air defense damage of the air-borne missile and the expectation of the number of the air-borne targets to be attacked.
(2) The medium-range ship-air missile and the ground-air missile weapon island are cooperated to prevent the target evaluation index of the air destruction;
the method specifically comprises the following steps: the system comprises a ground-to-air missile weapon, a medium range defense line probability, a medium range air-to-ship missile and ground-to-air missile weapon island reef collaborative air defense interception air-to-air target probability, a medium range air-to-ship missile and ground-to-air missile weapon island reef collaborative air defense damage air-to-air target probability, a medium range air-to-ship missile and ground-to-air missile weapon island reef collaborative air defense required interception air-to-air target number expectation, and a medium range air-to-ship missile and ground-to-air missile weapon island reef collaborative air defense damage air-to-air target number expectation.
(3) The short-range ship-air missile and the ground-air missile weapon island are cooperated to prevent the target evaluation index from being damaged by the air;
the method specifically comprises the following steps: the short-range defense line probability formed by the short-range ship-borne missile and the ground-borne missile weapon, the probability of the short-range ship-borne missile and the island reef of the ground-borne missile weapon cooperating with the air defense to intercept the incoming air target, the probability of the short-range ship-borne missile and the island reef of the ground-borne missile cooperating with the air defense to destroy the incoming air target, the expectation of the number of the incoming air targets to be intercepted by the short-range ship-borne missile and the island reef of the ground-borne missile cooperating with the air defense to destroy the incoming air target, and the expectation of the number of the incoming air targets to be intercepted by the short-range ship-borne missile and the island reef of the ground-borne.
(4) Evaluation index for island collaborative anti-aircraft damage target of short-range ship-air missile and ground-air missile weapon
The method specifically comprises the following steps: the short-range air-borne missile and ground-borne missile weapon combined short-range defense line probability, the short-range air-borne missile and ground-borne missile weapon island reef cooperative air defense interception air-borne target probability, the short-range air-borne missile and ground-borne missile weapon island reef cooperative air defense damage air-borne target probability, the short-range air-borne missile and ground-borne missile weapon island reef cooperative air defense required interception air-borne target number expectation and the short-range air-borne missile and ground-borne missile weapon island reef cooperative air defense damage air-borne target number expectation are broken through for the air-borne target.
In the step 1, x is11Remote-set aircraft missile weapon and x12Average interception target time T during cooperative defense and emptying of remote ground-to-air missile weapon reefs1＝0.5(T11+T12) Wherein, T11Is x11Mean time (in s) required for a remote naval missile weapon to intercept a target, T12Is x12The average time (in s) required for the remote ground-to-air missile weapon reefs to intercept the target.
In the step 2, M/M/x is calculated through the queuing theory1Model (wherein the first M represents that input is Poisson distribution, the second M represents that the island-reef cooperative defense time of the ship-air missile and the ground-air missile weapon obeys the Poisson distribution), and probability p of the attack of the air target breaking through the remote defense line formed by the remote ship-air missile and the ground-air missile weapon1Expressed as: the method has the effect of calculating the probability that the incoming air target breaks through a remote defense line formed by remote ship-air missiles and ground-air missile weapons.
Figure BDA0002709350190000101
Wherein λ is1Average number of targets, T, of incoming air to be intercepted per second for remote line of defense1Is x11Remote-set aircraft missile weapon and x12Average interception target time x during cooperative defense and emptying of remote ground-to-air missile weapon reefs1Number of sets, x, for remote missile weapons1| A Is x1Factorial, j! Is j factorial, j is the ordinal number in the formula;
said step (c) isIn 3, u1＝1-p1；
In said step 4, q1＝u1 pd1＝(1-p1)pd1，pd1＝0.5(pd11+pd12) Wherein p isd11For the damage target probability p under the condition that the remote ship-air missile intercepts the targetd12The probability of damaging the target under the condition of intercepting the target by the remote ground-air missile is obtained;
in said step 5, M1M is the total number of the attacking aerial targets, M is lambdat, lambada is the average strength lambada of the attacking aerial targets, and t is the attack duration of the attacking aerial targets; the method has the effect of calculating the total number M of the targets attacking the air.
In the step 6, the number of the targets attacking the air by the remote naval-aircraft missile and the remote ground-to-air missile weapon in cooperation with the air defense damage is expected to be h1＝M1 q1. The method has the effect of calculating the expected number h of the targets which attack the air by the remote naval-aircraft missile and the remote ground-aircraft missile weapon and prevent the air damage in cooperation1And (4) index value.
In said step 7, x21In-range aircraft missile weapons and x22Mean interception target time T of cooperative air-ground missile weapon in sleeve2Is T2＝0.5(T21+T22) Wherein, T21Is x21Mean time, T, required for a sleeved mid-range aircraft missile weapon to intercept a target22Is x22Average time required for the in-sleeve range ground-air missile weapon to intercept the target;
in the step 8, the M/M/x through the queuing theory2Model, the probability p of the hit air target breaking through the intermediate-range defense line formed by the intermediate-range ship-air missile and the ground-air missile weapon2Can be expressed as:
Figure BDA0002709350190000102
wherein λ is2Average number of targets, T, attacking the air to be intercepted per second for medium-range defense line2Is x21In-range aircraft missile weapons and x22Intermediate range of sleeveAverage interception target time x of cooperative air defense of air guided missile weapon2Number of sets, x, for medium range missile weapons2| A Is x2Factorial, j! Is j factorial, j is the ordinal number in the formula;
in said step 9, u2＝1-p2；
In said step 10, q2＝u2 pd2＝(1-p2)pd2，pd2＝0.5(pd21+pd22) Wherein p isd21Probability of damaging the target p under the condition of intercepting the target by a medium-range ship-borne missiled22The probability of damaging the target under the condition of intercepting the target for the medium-range ground-air missile;
in the step 11, the target which comes into the air and enters the medium-range defense line formed by the medium-range naval missile and the ground-to-air missile weapon consists of two parts: firstly, the remote line defense attacks the air target; second, although intercepted, the undamaged incoming airborne target, so M2Expressed as: m2＝M1p1+M1(1-p1)(1-pd2)＝M1(1-pd2+p1pd2)；
In said step 12, h2＝M2 q2。
In said step 13, T3＝0.5(T31+T32). Wherein, T31Mean time, T, required for short-range vessel-borne missile weapons to intercept a target32Average time required for a short-range ground-to-air missile weapon to intercept a target;
in the step 14, M/M/x through queuing theory3Model, short-range defense probability p formed by short-range ship-borne missile and short-range ground-to-air missile weapon is broken through by attacking air target3Expressed as:
Figure BDA0002709350190000111
wherein λ is3Average number of targets, T, of incoming air to be intercepted per second for short-range line of defense3Is x31Short-range sleeve ship aircraftMissile and x32Average interception target time x of cooperative air defense of sleeve short-range ground-to-air missile weapon3Is the short-range missile weapon set number, x3| A Is x3Factorial, j! Is j factorial, j is the ordinal number in the formula;
in said step 15, u3＝1-p3；
In said step 16, q3＝u3 pd3＝(1-p3)pd3，pd3＝0.5(pd31+pd32) Wherein p isd31Probability of damaging target under condition of intercepting target by short-range ship-borne missile, pd32The probability of damaging the target under the condition of intercepting the target by the short-range ground-air missile is obtained;
in the step 17, the target which enters the short-range air defense line formed by the short-range ship-borne missile and the ground-to-air missile weapon consists of two parts: firstly, the medium-range defense line attacks the air target through the defense; second, although intercepted, the undamaged incoming airborne target, so M3Is denoted as M3＝M2p2+M2(1-p2)(1-pd3)＝M2(1-pd3+p2pd3)；
In said step 18, h3＝M3 q3。
In said step 19, T4＝0.5(T41+T42) Wherein, T41Mean time, T, required for short-range air-borne missile weapons to intercept a target42Average time required for the short-range air-ground missile weapon to intercept the target;
in the step 20, M/M/x by queuing theory4Model, p4Comprises the following steps:
Figure BDA0002709350190000121
wherein λ is4Average number of targets, T, of incoming air to be intercepted per second for short-range defense line4Is x41Sleeved short-range aircraft missile and x42Average interception of cooperative air defense of sleeve short distance ground-air missile weaponTarget time, x4For short-range missile weapon sets, x4| A Is x4Factorial, j! Is j factorial, j is the ordinal number in the formula;
in said step 21, u4＝1-p4；
In said step 22, q4＝u4 pd4＝(1-p4)pd4；pd4＝0.5(pd41+pd42) Wherein p isd41Is the damage target probability p of short-range ship-air missile under the condition of intercepting targetd42The probability of damaging the target under the condition of intercepting the target by the short-distance ground-air missile;
in the step 23, the target which comes into the short-range air and enters the short-range defense line formed by the short-range naval missile and the ground-to-air missile weapon consists of two parts: firstly, the short-range line defense attacks the air target; second, although intercepted, the undamaged incoming airborne target, so M4Is denoted as M4＝M3p3+M3(1-p3)(1-pd4)＝M3(1-pd4+p3pd4)；
In said step 24, h4＝M4 q4。
The invention provides a method for evaluating a cooperative anti-aircraft damage target of an aircraft-based ship-based missile and an island reef of an air-based missile weapon according to the cooperative anti-aircraft of the ship-based missile and the island reef of the air-based missile weapon from far to near in distance, which comprises the steps of sequentially constructing a remote, medium, short and short-range cooperative anti-aircraft damage target evaluation method based on a queuing theory, and finally counting the evaluation index result of the cooperative anti-aircraft damage target of the ship-based missile and the island reef of the air-based missile weapon.
Details not described in this specification are within the skill of the art that are well known to those skilled in the art.

Claims (10)

1. A ship-air missile and ground-air missile weapon island reef collaborative air defense damage target assessment method is characterized by comprising the following steps:
step 1: deploying x in remote defense line formed by remote ship-borne missile and remote ground-to-air missile weapon1Remote guided missile weapons, x1The remote guided missile weapon comprises x11Remote-set aircraft missile weapons and x12The remote ground-air missile weapon has x1＝x11+x12；
x11Remote-set aircraft missile weapon and x12When the remote ground-to-air missile weapon is cooperated to prevent space, the average strength of the remote defense line for intercepting the target in the air is lambda1Per s;
at the same time, x11Remote-set aircraft missile weapon and x12Mean service rate mu of remote ground-to-air missile weapon collaborative air defense1，μ1＝1/T1，T1Is x11Remote-set aircraft missile weapon and x12The average interception target time when remote ground-to-air missile weapons are coordinated to prevent space;
step 2: according to the average number lambda of the incoming air targets needing to be intercepted per second by the remote defense line1、x11Remote-set aircraft missile weapon and x12Average interception target time T for cooperative defense and emptying of remote ground-to-air missile weapons1Remote missile weapon set number x1Calculating the probability p that the incoming air target breaks through a remote defense line formed by a remote naval-vessel missile and a remote ground-to-air missile weapon1；
And step 3: probability p of breaking through remote defense line formed by remote naval-vessel missile and remote ground-to-air missile weapon according to attacking air target1Calculating the probability u of cooperative air defense interception of remote naval-aircraft missile and remote ground-aircraft missile weapon to attack air target1；
And 4, step 4: according to the damage target probability p under the condition that the remote ship-air missile and the remote ground-air missile weapon cooperate to prevent the air and intercept the targetd1And the probability u of the remote ship-air missile and the remote ground-air missile weapon cooperating to prevent the air from intercepting the incoming air target1Calculating the probability q of the cooperative air defense damage of the remote naval-aircraft missile and the remote ground-air missile weapon to attack the air target1；
And 5: computing remote naval air guided missile andremote air-ground missile weapon cooperative air defense attack air target number expectation M needing interception1；
Step 6: according to the probability q of the cooperative aerial damage prevention of the remote naval-aircraft missile and the remote ground-aircraft missile weapon1And the number of the targets M of the incoming air which need to be intercepted for cooperative air defense of the remote ship-borne missile and the remote ground-to-air missile weapon1Calculating the expected number h of air targets attacked by remote naval-aircraft missile and remote ground-aircraft missile weapon in cooperation with air defense damage1。
2. The method for evaluating the anti-aircraft damage target by the cooperation of the ship-based air-borne missile and the island reef of the ground-based missile weapon according to claim 1, wherein the method comprises the following steps: said x11Remote-set aircraft missile weapon and x12Average interception target time T during cooperative defense and emptying of remote ground-to-air missile weapon reefs1＝0.5(T11+T12) Wherein, T11Is x11Mean time, T, required for a remote naval missile weapon to intercept a target12Is x12And (3) the average time required for the remote ground-to-air missile weapon reefs to intercept the target.
3. The method for evaluating the anti-aircraft damage target by the cooperation of the ship-based air-borne missile and the island reef of the ground-based missile weapon according to claim 1, wherein the method comprises the following steps:
in the step 2, M/M/x is calculated through the queuing theory1Model, probability p of attacking air target breaking through remote defense line formed by remote ship-borne missile and ground-to-air missile weapon1Expressed as:
Figure FDA0002709350180000021
wherein λ is1Average number of targets, T, of incoming air to be intercepted per second for remote line of defense1Is x11Remote-set aircraft missile weapon and x12Average interception target time x during cooperative defense and emptying of remote ground-to-air missile weapon reefs1Number of sets, x, for remote missile weapons1| A Is x1Factorial, j! Is j factorial, j is the ordinal number in the formula;
in said step 3, u1＝1-p1；
In said step 4, q1＝u1 pd1＝(1-p1)pd1，pd1＝0.5(pd11+pd12) Wherein p isd11For the damage target probability p under the condition that the remote ship-air missile intercepts the targetd12The probability of damaging the target under the condition of intercepting the target by the remote ground-air missile is obtained;
in said step 5, M1M is the total number of the attacking aerial targets, M is lambdat, lambada is the average strength lambada of the attacking aerial targets, and t is the attack duration of the attacking aerial targets;
in the step 6, the number of the targets attacking the air by the remote naval-aircraft missile and the remote ground-to-air missile weapon in cooperation with the air defense damage is expected to be h1＝M1q1。
4. The method for evaluating the anti-aircraft damage target by the cooperation of the ship-based air-borne missile and the island reef of the ground-based missile weapon according to claim 1, wherein the method comprises the following steps: step 6 is followed by step 7 of deploying x in a medium-range defense line formed by a medium-range ship-borne missile and a medium-range ground-borne missile weapon2Guided missile weapons of medium range, x2The guided missile weapon comprises x21In-range aircraft missile weapons and x22In the case of mid-range ground-to-air missile weapons, then x2＝x21+x22；
x21In-range aircraft missile weapons and x22When the sleeve intermediate range ground-air missile weapon collaboratively prevents the space, the average strength of the intermediate range defense line for intercepting the target attacking the air is lambda2Per s;
at the same time, x21In-range aircraft missile weapons and x22Mean service rate mu of cooperative air defense of in-sleeve range ground-to-air missile weapons2，μ2＝1/T2，T2Is x21In-range aircraft missile weapons and x22Average interception target time of cooperative air defense of the in-set range ground-air missile weapons;
and 8: according to the average number lambda of the incoming air targets needing to be intercepted per second of medium-range defense lines2、x21In-range aircraft missile weapons and x22Mean interception target time T of cooperative air-ground missile weapon in sleeve2Number of sets x for medium-range missile weapons2Calculating the probability p of the hit air target breaking through the intermediate range defense line formed by the intermediate range ship-borne missile and the intermediate range ground-borne missile weapon2；
And step 9: breaking through the mid-range defense line probability p consisting of mid-range naval-vessel missile and mid-range ground-to-air missile weapons according to the air-attacking target2Calculating the probability u of cooperative air defense interception of medium range naval-aircraft missile and medium range ground-aircraft missile weapon to attack air target2；
Step 10: according to the damage target probability p under the condition that the medium range ship-air missile and the medium range ground-air missile weapon cooperate to prevent the air and intercept the targetd2Probability u of cooperative air-defense interception of medium-range ship-borne missile and medium-range ground-to-air missile weapon to attack air target2Calculating the probability q of the cooperative air defense damage of the medium range ship-air missile and the medium range ground-air missile weapon to attack the air target2；
Step 11: expecting M according to the number of the targets which attack the air and need to be intercepted in cooperation with remote naval missiles and remote ground-to-air missile weapons1Probability p of attacking air target to break through remote defense line formed by remote naval-vessel missile and remote ground-to-air missile weapon1Target damage probability p under the condition of cooperative air defense interception of medium range ship-borne missile and medium range ground-borne missile weapond2Calculating the expected number M of the targets in the air which are attacked and need to be intercepted by the cooperation of the medium range ship-borne missile and the medium range ground-to-air missile weapon2；
Step 12: expecting M according to the number of the targets in the air which are attacked by the medium range naval missile and the medium range ground-to-air missile weapon and need to be intercepted in cooperation with air defense2Probability q of air target attack by medium-range ship-air missile and medium-range ground-air missile weapon in cooperation with air defense damage2Calculating the expected number h of targets in the air which are attacked by the medium range ship-air missile and the medium range ground-air missile weapon in cooperation with the air defense damage2。
5. The method of claim 4The method for evaluating the anti-aircraft damage target by the cooperation of the ship-based air-borne missile and the island reef of the ground-based air-borne missile weapon is characterized by comprising the following steps of: in said step 7, x21In-range aircraft missile weapons and x22Mean interception target time T of cooperative air-ground missile weapon in sleeve2Is T2＝0.5(T21+T22) Wherein, T21Is x21Mean time, T, required for a sleeved mid-range aircraft missile weapon to intercept a target22Is x22Average time required for the in-sleeve range ground-air missile weapon to intercept the target;
in the step 8, the M/M/x through the queuing theory2Model, the probability p of the hit air target breaking through the intermediate-range defense line formed by the intermediate-range ship-air missile and the ground-air missile weapon2Can be expressed as:
Figure FDA0002709350180000041
wherein λ is2Average number of targets, T, attacking the air to be intercepted per second for medium-range defense line2Is x21In-range aircraft missile weapons and x22Mean interception target time x of cooperative air-ground missile weapon in sleeve2Number of sets, x, for medium range missile weapons2| A Is x2Factorial, j! Is j factorial, j is the ordinal number in the formula;
in said step 9, u2＝1-p2；
In said step 10, q2＝u2 pd2＝(1-p2)pd2，pd2＝0.5(pd21+pd22) Wherein p isd21Probability of damaging the target p under the condition of intercepting the target by a medium-range ship-borne missiled22The probability of damaging the target under the condition of intercepting the target for the medium-range ground-air missile;
in said step 11, M2＝M1p1+M1(1-p1)(1-pd2)；
In said step 12, h2＝M2q2。
6. The method for evaluating the air-craft missile and ground-air missile weapon island reef collaborative anti-aircraft damage target according to claim 4, wherein the method comprises the following steps: step 13 is also included after step 12, deploying x in a short-range defense line formed by a short-range ship-borne missile and a short-range ground-to-air missile weapon3Nested short-range missile weapons in which x3The sleeve short-range missile weapon comprises x31Sleeve short-range aircraft missile weapon, x32The sleeve short-range ground-air missile weapon has x3＝x31+x32；
When the short-range ship-borne missile and the short-range ground-to-air missile weapon cooperate to prevent space, the average strength for intercepting the target in the air is lambda3Per s;
meanwhile, the average service rate mu of cooperative air defense of short-range ship-borne missile and short-range ground-to-air missile weapons3，μ3＝1/T3，T3Is x31Sleeve short-range aircraft guided missile and x32Average interception target time of cooperative air defense of the short-range ground-to-air missile weapons;
step 14: according to the average number lambda of the incoming air targets needing to be intercepted per second by the short-range defense line3、x31Sleeve short-range aircraft guided missile and x32Average interception target time T of cooperative air defense of sleeve short-range ground-to-air missile weapon3Short-range missile weapon set number x3Calculating the short-range defense probability p that the incoming air target breaks through the short-range missile defense formed by the short-range ship-borne missile and the short-range ground-borne missile weapon3；
Step 15: breaking through short-range defense probability p formed by short-range naval-vessel missile and short-range ground-to-air missile weapon according to attacking air target3Calculating the probability u of cooperative air defense interception of short-range ship-borne missile and short-range ground-to-air missile weapons to attack air target3；
Step 16: according to the damage target probability p under the condition that the short-range ship-borne missile and the short-range ground-to-air missile weapon cooperate to prevent air interception of the targetd3Probability u of cooperative air defense and air defense interception of short-range ship-borne missile and short-range ground-to-air missile weapons to attack air target3Calculating the cooperative air defense damage of short-range ship-borne missile and short-range ground-to-air missile weapons to attack the air targetStandard probability q3；
And step 17: expecting M according to the number of the targets in the air which are attacked by the medium range naval missile and the medium range ground-to-air missile weapon and need to be intercepted in cooperation with air defense2The mid-range defense line probability p of the air-borne missile and the air-borne missile weapon breaks through2And the damage target probability p under the condition of cooperative air defense interception of short-range ship-borne missile and short-range ground-to-air missile weapond3Calculating the expected number M of the targets in the air which need to be intercepted for cooperative air defense of short-range ship-borne missiles and short-range ground-to-air missile weapons3；
Step 18: expecting M according to the number of the targets in the air which are attacked by short-range naval-vessel missile and short-range ground-to-air missile weapons and need to be intercepted in cooperation with air defense3And the probability q of the air target attacked by the short-range ship-borne missile and the short-range ground-borne missile weapon in cooperation with the air damage prevention3Calculating the expected number h of flying targets attacking the air by the island and reef cooperation of short-range ship-borne missile and ground-borne missile weapons and preventing air damage3。
7. The method for evaluating the air-craft missile and ground-air missile weapon island reef collaborative anti-aircraft damage target according to claim 6, wherein the method comprises the following steps: in said step 13, T3＝0.5(T31+T32) Wherein, T31Mean time, T, required for short-range vessel-borne missile weapons to intercept a target32Average time required for a short-range ground-to-air missile weapon to intercept a target;
in the step 14, M/M/x through queuing theory3Model, short-range defense probability p formed by short-range ship-borne missile and short-range ground-to-air missile weapon is broken through by attacking air target3Expressed as:
Figure FDA0002709350180000051
wherein λ is3Average number of targets, T, of incoming air to be intercepted per second for short-range line of defense3Is x31Sleeve short-range aircraft guided missile and x32Average interception target time x of cooperative air defense of sleeve short-range ground-to-air missile weapon3Is the short-range missile weapon set number, x3| A Is x3Factorial, j! Is j factorial, j is the ordinal number in the formula;
in said step 15, u3＝1-p3；
In said step 16, q3＝u3 pd3＝(1-p3)pd3，pd3＝0.5(pd31+pd32) Wherein p isd31Probability of damaging target under condition of intercepting target by short-range ship-borne missile, pd32The probability of damaging the target under the condition of intercepting the target by the short-range ground-air missile is obtained;
in said step 17, M3＝M2p2+M2(1-p2)(1-pd3)；
In said step 18, h3＝M3q3。
8. The method for evaluating the air-craft missile and ground-air missile weapon island reef collaborative anti-aircraft damage target according to claim 6, wherein the method comprises the following steps: step 18 is followed by step 19 of deploying x in a short-range defense line formed by a short-range naval-vessel missile and a short-range ground-to-air missile weapon4Over short-range missile weapons, where x4The short-range missile weapon comprises x41Sleeved short range aircraft missile weapons and x42Over short distance ground-air missile weapon, then x4＝x41+x42；
When the short-range naval-aircraft missile and the short-range ground-to-air missile weapon cooperate to prevent space, the average strength for intercepting the target in the air is lambda4Per s;
meanwhile, the average service rate mu of island-reef cooperative air defense of the short-range naval-vessel missile and the short-range ground-to-air missile weapon4，μ4＝1/T4，T4The target time is the average interception target time of cooperative air defense of the short-range ship-borne missile and the short-range ground-to-air missile weapon;
step 20: according to the average service rate mu of the island-reef cooperative air defense of the short-range naval-vessel missile and the short-range ground-to-air missile weapon4、x41Sleeved short-range aircraft missile and x42Cooperative air defense of sleeve short distance ground-to-air missile weaponAverage intercept target time T of4Short-range missile weapon set number x4Calculating the probability p of the attack of the air target to break through the short-range defense line formed by the short-range ship-air missile and the ground-air missile weapon4；
Step 21: breaking through the short-range defense line probability p consisting of short-range naval-aircraft missile and ground-to-air missile weapon according to the target attacking the air4Calculating the probability u of cooperative air defense interception of short-range naval-aircraft missile and short-range air-ground missile weapon to attack air target4；
Step 22: according to the damage target probability p under the condition that the short-range naval-aircraft missile and the short-range ground-aircraft missile weapon cooperate to prevent the air from intercepting the targetd4And the probability u of cooperative air defense interception of short-range naval-aircraft missile and short-range air-ground missile weapon to attack air target4Calculating the probability q of the short-range aircraft-warship missile and the island-reef collaborative anti-aircraft-missile weapon attacking air target4；
Step 23: expecting M according to the number of the targets in the air which are attacked by short-range naval-vessel missile and short-range ground-to-air missile weapons and need to be intercepted in cooperation with air defense3The short-range defense probability p formed by short-range ship-borne missile and short-range ground-to-air missile weapons is broken through by the target attacking the air3And the damage target probability p under the condition of cooperative air defense interception of the short-range ship-borne missile and the short-range ground-to-air missile weapond4Calculating expected number M of incoming air targets needing to be intercepted for island collaboration air-to-sea missile and ground-to-air missile weapon4；
Step 24: expecting M according to the number of the short-range air-borne missiles and the island reef of the ground-to-air missile weapon, which cooperate with air defense and need to intercept the incoming air target4And the probability q of the short-range ship-air missile and the island reef of the ground-air missile weapon cooperating to prevent the air destruction from attacking the air target4Calculating the expectation h of the number of targets in the air which are attacked by the short-range naval-aircraft missile and the short-range ground-aircraft missile weapon in cooperation with the air defense damage4。
9. The method for evaluating the air-craft missile and ground-air missile weapon island reef collaborative anti-aircraft damage target according to claim 8, wherein the method comprises the following steps: in said step 19, T4＝0.5(T41+T42) Wherein, T41For short-range aircraft guided missilesAverage time, T, required for the interception of the target by the device42Average time required for the short-range air-ground missile weapon to intercept the target;
in the step 20, M/M/x by queuing theory4Model, p4Comprises the following steps:
Figure FDA0002709350180000071
wherein λ is4Average number of targets, T, of incoming air to be intercepted per second for short-range defense line4Is x41Sleeved short-range aircraft missile and x42Average interception target time x of cooperative air defense of sleeve short distance ground-air missile weapon4For short-range missile weapon sets, x4| A Is x4Factorial, j! Is j factorial, j is the ordinal number in the formula;
in said step 21, u4＝1-p4；
In said step 22, q4＝u4 pd4＝(1-p4)pd4；pd4＝0.5(pd41+pd42) Wherein p isd41Is the damage target probability p of short-range ship-air missile under the condition of intercepting targetd42The probability of damaging the target under the condition of intercepting the target by the short-distance ground-air missile;
in said step 23, M4＝M3p3+M3(1-p3)(1-pd4)；
In said step 24, h4＝M4q4。
10. The method for evaluating the air-craft missile and ground-air missile weapon island reef collaborative anti-aircraft damage target according to claim 8, wherein the method comprises the following steps: and step 25, after the step 24, counting the result of the evaluation index of the cooperative air-borne missile and ground-borne missile weapon air-defense damage target, wherein the result mainly comprises the following indexes:
1. warship-air missile and ground-air missile weapon island reef collaborative air destruction prevention air target number expectation h, h is h1+h2+h3+h4；
2. The ship-air missile and the island reef of the ground-air missile weapon cooperate to prevent the probability q that the airborne target is attacked by the airborne damage, wherein q is h/M, and M is the total number of the airborne target;
3. the probability p that the incoming air target breaks through the long-range defense line, the medium-range defense line, the short-range defense line and the short-range defense line of the cooperative defense of the ship-based air missile and the ground-to-air missile weapon is p, wherein p is (M-h)/M;
4. the aircraft missile warrior and the ground-to-air missile weapon island reef with four ranges is cooperated to prevent the target from being damaged by the air.
CN202011050341.1A 2020-09-29 2020-09-29 Method for evaluating island-reef collaborative anti-aircraft damage target of naval-aircraft missile and ground-aircraft missile weapons Pending CN112232647A (en)

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